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Finding the Fourth Proportional to 512,385.31, 701,964.60 and 493,224.36

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Solution

The fourth proportional to 512,385.31, 701,964.60 and 493,224.36 is: 675,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,385.31 : 701,964.60 = 493,224.36 : x
  2. Step 2: Convert to fraction form
    512,385.31/701,964.60 = 493,224.36/x
  3. Step 3: Cross multiply
    512,385.31x = 701,964.60 × 493,224.36
  4. Step 4: Simplify right side
    512,385.31x = 346,226,040,577.66
  5. Step 5: Solve for x
    x = 346,226,040,577.66/512,385.31
  6. Step 6: Final answer
    x = 675,714.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.